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Finding the Fourth Proportional to 273,304.32, 409,968.99 and 83,751

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Solution

The fourth proportional to 273,304.32, 409,968.99 and 83,751 is: 125,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,304.32 : 409,968.99 = 83,751 : x
  2. Step 2: Convert to fraction form
    273,304.32/409,968.99 = 83,751/x
  3. Step 3: Cross multiply
    273,304.32x = 409,968.99 × 83,751
  4. Step 4: Simplify right side
    273,304.32x = 34,335,312,881.49
  5. Step 5: Solve for x
    x = 34,335,312,881.49/273,304.32
  6. Step 6: Final answer
    x = 125,630.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.